File:Directional derivative contour plot.svg

Summary

Description
English: This plot shows the gradient, , and scaled by the directional derivative in the direction of of at (−5, 5).

Source code

Created with the following Sage code, and later edited in Inkscape:

(contour_plot(x^2 + y^2, (x, -20, 0), (y, 0, 20), contours=range(50, 850, 50), cmap='summer') + point((-5, 5), color='red', size=15, zorder=4) +
arrow([-5, 5], [-15, 15], zorder=2) + arrow([-5, 5], [-5, 15], zorder=2, color='darkorange') + arrow([-5, 5], [-5, 6], zorder=3, color='darkgreen') +
text(r'$\nabla_\mathbf{u} f(-5, 5)$', (-12.5, 9.5), fontsize=14) + text(r'$\mathbf{u}$', (-4.3, 5.5), color='darkgreen', fontsize=14) +
text(r'$\mathbf{u}\nabla_\mathbf{u} f(-5, 5)$', (-2.3, 11.5), color='darkorange', fontsize=14))
Date
Source Own work
Author Eviatar Bach
SVG development
InfoField

Licensing

Eviatar Bach, the copyright holder of this work, hereby publishes it under the following licenses:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Category:CC-Zero#Directional%20derivative%20contour%20plot.svg
Public domain This work has been released into the public domain by its author, Eviatar Bach. This applies worldwide.
In some countries this may not be legally possible; if so:
Eviatar Bach grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Directional%20derivative%20contour%20plot.svgCategory:PD-self#Directional%20derivative%20contour%20plot.svg Category:Released into the public domain by the copyright holder with different SDC copyright license
You may select the license of your choice.
Category:Self-published work
Category:Contour plots Category:Directional derivative Category:Files by User:InverseHypercube Category:Images with Sage source code
Category:CC-Zero Category:Contour plots Category:Created with SageMath Category:Directional derivative Category:Files by User:InverseHypercube Category:Images with Sage source code Category:PD-self Category:Released into the public domain by the copyright holder with different SDC copyright license Category:SVG created also with Inkscape Category:Self-published work